### Abstract

Original language | English |
---|---|

Journal | A I A A Journal |

Volume | 37 |

Issue number | 9 |

Pages (from-to) | 1033-1039 |

ISSN | 0001-1452 |

DOIs | |

Publication status | Published - 1999 |

### Cite this

*A I A A Journal*,

*37*(9), 1033-1039. https://doi.org/10.2514/2.829

}

*A I A A Journal*, vol. 37, no. 9, pp. 1033-1039. https://doi.org/10.2514/2.829

**New formulation of Hardin-Pope equations for aeroacoustics.** / Ekaterinaris, J.A.

Research output: Contribution to journal › Journal article › Research

TY - JOUR

T1 - New formulation of Hardin-Pope equations for aeroacoustics

AU - Ekaterinaris, J.A.

PY - 1999

Y1 - 1999

N2 - Predictions of aeroacoustic disturbances generated by low-speed unsteady flows can be obtained with the two-step method proposed by Hardin and Pope (Hardin, J. C., and Pope, S. D., "An Acoustic/Viscous Splitting Technique for Computational Aeroacoustics," Theoretical and Computational Fluid Dynamics, Vol. 6, No. 5-6, 1994, pp. 334-340). This method requires detailed information about the unsteady aerodynamic flowfield, which usually is obtained from a computational fluid dynamics solution. A new, conservative formulation of the equations governing acoustic disturbances is presented. The conservative form of the governing equations is obtained after application of a transformation of variables that produces a set of inhomogeneous equations similar to the conservation-law form of the compressible Euler equations. The source term of these equations depends only on the derivatives of the hydrodynamic variables. Explicit time marching is performed. A high-order accurate, upwind-biased numerical scheme is used for numerical solution of the conservative equations. The convective fluxes are evaluated using upwind-biased formulas and flux-vector splitting. Solutions are obtained for the acoustic flowfield generated by a corotating vortex pair. Computed results are compared with the analytic solution.

AB - Predictions of aeroacoustic disturbances generated by low-speed unsteady flows can be obtained with the two-step method proposed by Hardin and Pope (Hardin, J. C., and Pope, S. D., "An Acoustic/Viscous Splitting Technique for Computational Aeroacoustics," Theoretical and Computational Fluid Dynamics, Vol. 6, No. 5-6, 1994, pp. 334-340). This method requires detailed information about the unsteady aerodynamic flowfield, which usually is obtained from a computational fluid dynamics solution. A new, conservative formulation of the equations governing acoustic disturbances is presented. The conservative form of the governing equations is obtained after application of a transformation of variables that produces a set of inhomogeneous equations similar to the conservation-law form of the compressible Euler equations. The source term of these equations depends only on the derivatives of the hydrodynamic variables. Explicit time marching is performed. A high-order accurate, upwind-biased numerical scheme is used for numerical solution of the conservative equations. The convective fluxes are evaluated using upwind-biased formulas and flux-vector splitting. Solutions are obtained for the acoustic flowfield generated by a corotating vortex pair. Computed results are compared with the analytic solution.

KW - Vindenergi og atmosfæriske processer

U2 - 10.2514/2.829

DO - 10.2514/2.829

M3 - Journal article

VL - 37

SP - 1033

EP - 1039

JO - A I A A Journal

JF - A I A A Journal

SN - 0001-1452

IS - 9

ER -